Finding the Third Proportional to 153,099 and 200,123

Step by Step Solution

1. Step 1: Write the proportion equation
   153,099 : 200,123 = 200,123 : x
2. Step 2: Convert to fraction form
   153,099/200,123 = 200,123/x
3. Step 3: Cross multiply
   153,099x = 200,123 × 200,123
4. Step 4: Simplify right side
   153,099x = 40,049,215,129
5. Step 5: Solve for x
   x = 40,049,215,129/153,099
6. Step 6: Final answer
   x = 261,590.31